Let $X$ and $Y$ be the following sets:
$$
\begin{array}{l}
X=\{4,5,7,9\} \
Y=\{\}
\end{array}
$$

Which of the following is the set $X \cap Y$ ?
Choose 1 answer:
(A) $\{7,9\}$
(B) $\{4,5\}$
(C) $\{4,5,7,9\}$
(D) \{\}

Question

Let $X$ and $Y$ be the following sets:
$$
\begin{array}{l}
X=\{4,5,7,9\} \
Y=\{\}
\end{array}
$$

Which of the following is the set $X \cap Y$ ?
Choose 1 answer:
(A) $\{7,9\}$
(B) $\{4,5\}$
(C) $\{4,5,7,9\}$
(D) \{\}

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the intersection of sets X and Y, we look for common elements between the two sets. ‖ ‖ step 2 ⋮ Set X is given as $\{4, 5, 7, 9\}$ and set Y is an empty set $\{\}$. ‖ ‖ step 3 ⋮ Since set Y is empty, it has no elements in common with set X. ‖ ‖ step 4 ⋮ Therefore, the intersection of set X and set Y is also an empty set, denoted as $\{\}$. ‖ ∻[1] Answer∻ ⚹ (D) $\{\}$ ⚹ ∻Key Concept∻ ⚹Intersection of Sets⚹ ∻Explanation∻ ⚹The intersection of any set with an empty set is always an empty set, because there are no elements to be shared.◊What is the intersection of set $X$ and set $Y$ in set theory?⍭ Generate me a similar question◊⚹

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